Numerics 

2-norm

A/D conversion
abs
ac2poly
ac2rc
aliasing
    impulse invariance
    preventing
    reducing
    sinc functions
all-pole filters. See IIR filters
all-zero filters. See FIR filters
AM. See amplitude modulation
amdsb
amdsb-sc
amplitude demodulation
amplitude modulation
amssb
analog filters
    bandpass
    bandstop
    Bessel
    Bessel comparison
    Bessel lowpass
    bilinear transformation
    Butterworth
    Butterworth comparison
    Butterworth lowpass
    Butterworth order estimation
    Chebyshev Type I
    Chebyshev Type I comparison
    Chebyshev Type I lowpass
    Chebyshev Type I order estimation
    Chebyshev Type II
    Chebyshev Type II comparison
    Chebyshev Type II order estimation
    converting to digital
    design
    discretization
    elliptic
    elliptic order estimation
    frequency response
    frequency response example
    highpass
    impulse invariance
    inverse
    lowpass
    models
    plotting
    See also IIR filters
analog frequency
analog signals. See signals
analysis parameters
analytic signals
angle
anti-symmetric filters
AR filters
    stability check
AR models. See autoregressive (AR) models
arburg
arcov
ARMA filters
    coefficients
    Prony's method
    Steiglitz-McBride method
    See also IIR filters
armcov
ARX models
aryule
ASCII files
    importing
autocorrelation
    convert from LP coefficients
    convert from reflection coefficients
    convert to LP coefficients
    convert to reflection coefficients
    estimation
    multiple channel filters
    two-dimensional
    variance
autocovariance
    multiple channels
autoregressive (AR) models
    Burg method
    coefficients
    covariance method
    modified covariance method
    power spectral density (Burg method)
    power spectral density (covariance method)
    power spectral density (modified covariance method)
    power spectral density (Yule-Walker method)
    Yule-Walker method
    See also IIR filters
autoregressive moving average (ARMA) filters. See ARMA filters
axis

band edges
    prewarping
bandpass filters
    Bessel
    Butterworth
    Chebyshev Type I
    Chebyshev Type I example
    Chebyshev Type II
    design
    elliptic
    FIR
    FIR example
    impulse invariance
    transform from lowpass
bandstop filters
    Bessel
    Butterworth
    Chebyshev Type I
    Chebyshev Type II
    elliptic
    FIR
    transform from lowpass
bandwidth
barthannwin
bartlett
Bartlett windows
    comparison
Bartlett-Hann windows
    comparison
Bessel filters
    characteristics
    limitations
    lowpass
    prototype
besselap
besself
bias
    linear prediction
    power spectral density <1> <2> <3>
    variance trade-off
bilinear
bilinear transformations
    characteristics
    output
    prewarping
    prewarping example
bit reversal
bitrevorder
blackman
Blackman windows
    comparison
blackmanharris
Blackman-Harris windows
    comparison
    Nuttall
Bohman windows
    comparison
bohmanwin
boxcar windows. See rectangular windows
brackets
buffer
Burg method
    characteristics
    example
    spectral estimation
    Welch's method comparison
buttap
butter
Butterworth filters
    characteristics
    comparison
    generalized
    limitations
    lowpass
    order estimation
buttord

canonical forms
    naming conventions
carrier frequency
carrier signals
cascades
Cauer filters. See elliptic filters
cceps
cell2sos
center frequency
cepstrum
    characteristics
    complex
    example
    inverse
    inverse function
    real
    reconstructing
cheb1ap
cheb1ord
cheb2ap
cheb2ord
chebwin
cheby1
cheby2
Chebyshev error minimization
Chebyshev Type I filters
    characteristics
    example
    lowpass
    order estimation
Chebyshev Type II filters
    characteristics
    limitations
    order estimation
Chebyshev windows
    comparison
chirp
chirp signals
chirp z-transforms
    characteristics
coding
    PCM
coefficients
    accessing filter
    convert autocorrelation to filter
    convert filter to autocorrelation
    convert filter to reflection
    convert reflection to autocorrelation
    convert reflection to filter
    filter
    lattice
    linear prediction
    reflection
cohere
coherence
    definition
    linearly dependent data
colors
    SPTool
communications
    applications
    modeling
    simulation
    See also modulation, demodulation, voltage controlled oscillation
compact disc
    standards
compaction
    discrete cosine transform
complex envelope. See Hilbert transforms
confidence intervals
context-sensitive help
continuous signals. See signals
continuous-time filters. See analog filters
conv
conv2
conversions
    autocorrelation to filter coefficients
    autocorrelation to reflection coefficients
    errors
    filter coefficients to autocorrelation
    filter coefficients to reflection coefficients
    functions (table)
    reflection coefficients to autocorrelation
    reflection coefficients to filter coefficients
    second-order section to zero-pole-gain
    second-order sections to state-space
    second-order sections to transfer functions
    state-space to second-order sections
    state-space to zero-pole-gain
    transfer functions to lattice
    transfer functions to second-order sections
    transfer functions to state-space
    zero-pole-gain to second-order sections
    zero-pole-gain to state-space
convmtx
convolution
    cross-correlation
    filtering
    matrix
    matrix function (convmtx)
corrcoef
correlation
    bias
    cross-correlation
    linear prediction
    matrices
        covariance method
        modified covariance method
    See also autocorrelation, cross-correlation
correlation matrices
corrmtx
corrmtx
cosine windows
cov
covariance
    definition
    methods
    See also autocovariance, cross-covariance
    See also modified covariance method
cplxpair
cremez
cross spectral density
    confidence intervals
    definition
    See also power spectral density, spectral estimation
cross-correlation
    comparison to cross-covariance
    estimation bias
    filters, multiple channels
    normalization
    two-dimensional
cross-covariance
    comparison to cross-correlation
    multiple channels
csd
cutoff frequency
    definition
czt
czt. See chirp z-transforms

data
    markers
    multichannel matrix
    multichannel signals
    time vectors
    vectors
DC component suppression
dct
de la Valle-Poussin windowSee Parzen windows
decimate
decimation
decode
deconv
deconvolution
default session
    SPTool
delays
    group
    noninteger
    phase
    signals
demod
demodulation
    example
    phase
    pulse position
    pulse width
    quadrature amplitude
dfilt
    cascade
    convert structures
    copying
    df1
    df1sos
    df1t
    df1tsos
    df2
    df2sos
    df2tsos
    direct form antisymmetric FIR
    direct form FIR transposed
    direct form II transposed (df2t)
    direct form IIR
    direct form symmetric FIR
    filter implementation
    lattice allpass
    lattice ARMA
    lattice autoregressive
    lattice moving average maximum
    lattice moving average minimum
    methods
    parallel
    scalar
    state space
    structures
dfilt.cascade
dfilt.df1
dfilt.df1sos
dfilt.df1t
dfilt.df1tsos
dfilt.df2
dfilt.df2sos
dfilt.df2t
dfilt.df2tsos
dfilt.dfasymfir
dfilt.dffir
dfilt.dffirt
dfilt.dfsymfir
dfilt.latticeallpass
dfilt.latticear
dfilt.latticearma
dfilt.latticemamax
dfilt.latticemamin
dfilt.parallel
dfilt.scalar
dfilt.statespace
dft. See discrete Fourier transforms
dftmtx
difference equations
differentiators
    definition
    least square linear-phase FIR
    Parks-McClellan FIR
digit reversal
digital audio tape standards
digital filters
    anti-causal
    Butterworth
    Butterworth order estimation
    cascade
    Chebyshev Type I order estimation
        
    Chebyshev Type II
    Chebyshev Type II order estimation
    coefficients
    comparison to IIR
    convolution
    convolution matrices
    design
    elliptic
    elliptic order estimation
    equiripple FIR order estimation
    FFT FIR overlap-add
    FIR design
    fixed-point implementation
    frequency response
    group delay <1> <2>
    identification from frequency data
    IIR
        comparison to FIR
    IIR design
    implementation with filter
    impulse response
    impulse response definition
    initial conditions
    lattice/ladder structures
    models
    order
    phase delay definition
    poles
    second-order sections
    specifications
    state-space
    time-domain representation
    transfer functions representation
    transients
    transposed direct form II structures
    types
    zero-phase
    zero-phase implementation
    zero-pole analysis
    zeros
    See also FIR filters, IIR filters
digital frequency
digitrevorder
diric
Dirichlet functions
    definition
discrete cosine transforms
    definition
    example
    inverse
    reconstruct signals
discrete cosine transforms (DCT)
    energy compaction property
discrete Fourier transforms
    algorithms
    definition
    eigenvector equivalent
    goertzel
    IIR filter implementation
    inverse two-dimensional
    magnitude
    matrix
    phase
    power spectrum estimation
    signal length dependencies
    spectral analysis
    time-dependent
    two-dimensional
    See also fast Fourier transforms (FFT), fft
discrete prolate spheroidal sequences
     See dpss
discretization
    bilinear transformations
    filters
    impulse invariance
dpss
    dpss.mat file
    example
dpss
dpssclear
dpssdir
dpssload
dpsssave
duty cycles

echo detection
edge effects
eigenanalysis
    frequency estimation
eigenvector method
    definition
    root MUSIC
    spectral estimation
    See also multiple signal classification method
ellip
ellipap
ellipord
elliptic filters
    definition
    limitations
    order estimation
encoding
eqtflength
equiripple
    Chebyshev Type I filters
    Chebyshev Type II filters
    Chebyshev windows
    elliptic filters
    elliptic filters (analog)
    elliptic filters (Cauer)
    Parks-McClellan design
equiripple filters
    definition
error minimization
    weighted frequency bands
estimation
    covariance method
    cross spectral density
    modified covariance method
    nonparametric
    parametric
    spectral density
    transfer functions
    Yule-Walker method
    See also parametric modeling

fast Fourier Transforms
    Goertzel algorithm
fast Fourier transforms
    example
    frequency response
    implementation
    output
FDATool
    analysis buttons
    analysis functions
    computing coefficients
    design methods
    exporting filters
    filter architecture
    filter design specification
    filter implementation
    filter order specification
    filter realization
    filter type
    filters structure
    frequency response specification
    group delay
    importing coefficients
    importing filters
    impulse response
    magnitude response
    opening
    phase delay
    phase response
    pole-zero plots
    saving coefficients
    sessions
    step response
fdatool
FFT. See fast Fourier transforms
fftfilt
fftshift
filter
    renaming 593
    sampling frequency 593
filter <1> <2>
filter coefficients
    convert from reflection coefficients
    convert to reflection coefficients
filter design. See FDATool
Filter Designer
    edit
    filters
        saving
    FIR methods
    IIR methods
    introduction
    Pole/Zero Editor
    redesign
    sample frequency
    spectra
    start
    types
Filter Viewer
    introduction
    measurements
    open
    overview
    preferences
    printing
    rulers
    zoom
Filter Visuazliation Tool (FVTool)
filter2
filternrom
filters
     filter function
    analog
    analog lowpass
    analog lowpass prototype
    anti-causal
    anti-symmetric
    bit reversal
    Butterworth
    Butterworth (generalized)
    Butterworth order
    Chebyshev Type I
    Chebyshev Type I lowpass prototype
    Chebyshev Type I order
    Chebyshev Type II
    Chebyshev Type II order
    coefficients <1> <2>
    coefficients in SPTool
    convert coefficients to autocorrelation
    convolution
    design <1> <2>
    digit reversal
    discretization
    elliptic
    elliptic order
    equiripple
    export to C header file
    export to MAT-file
    export to text file
    export to workspace
    filter and filtfilt comparison
    FIR
    FIR design
    FIR single band
    frequency data
    frequency domain
    frequency transformations
    fvtool
    Gaussian
    implementation
    importing to SPTool
    initial conditions <1> <2>
    inverse analog
    inverse discrete-time
    lattice/ladder
    linear phase
    linear phase types
    linear prediction
    linear system models
    linear time-invariant digital
    measurements
    median <1> <2>
    minimax
    minimum phase
    name
    norm
    numerator and denominator length
    objects
    order
    overlap-add
    phase delay
    phase distortion removal
    phase modulation
    phase response
    sampling frequency
    Savitzky-Golay
    Savitzky-Golay design
    Schur realizations
    second-order sections
    second-order sections IIR
    SPTool Filter Designer
    step response
    structures
    types
    viewing
    zero phase response
    zero-phase
    zero-phase implementation
    See also FDATool, FIR filters, IIR filters, digital filters, analog filters
filtfilt
    filter comparison
filtic
FIR filters
    arbitrary response
    complex response
    constrained least square
    differentiators
    equiripple
    example
    frequency domain <1> <2>
    frequency response
    Gaussian
    Hilbert transformers
    IIR filter comparison
    implementation
    interpolation
    Kaiser windows
    lattice/ladder
    least square and equiripple comparison
    least square linear phase
    least square multiband
    least square weighted
    linear phase
    linear phase Parks-McClellan
    multiband
    multiband example
    nonlinear phase response
    order estimation
    overlap-add
    Parks-McClellan method
    reduced delay response
    resample
    SPTool Filter Designer
    standard band
    types
    window-based
    windowing method
fir1
    example
fircls
fircls1
firgauss
firls
    differentiators
    remez comparison
    weight vectors
firrcos
flattopwin
FM. See frequency modulation
fopen
Fourier transforms. See discrete Fourier transforms, fast Fourier transforms
fread
freqs
freqspace
frequency
    analog
    angular
    carrier <1> <2> <3>
    center
    cutoff
    digital
    estimation
        eigenanalysis
        eigenvector (EV) method
        multiple signal classification (MUSIC) method
    normalization
    Nyquist <1> <2>
    prewarping
    vectors <1> <2> <3> <4>
frequency analysis, time-dependent
frequency demodulation
frequency domain
    duality with time-domain
    filters
    FIR filtering
    transformation functions <1> <2> <3> <4> <5>
        example
        lowpass to bandpass
        lowpass to bandstop
        lowpass to highpass
frequency domain based modeling. See parametric modeling
frequency modulation
frequency response <1> <2> <3>
    Bessel filters
    Butterworth filters
    Chebyshev Type I filters
    Chebyshev Type II filters
    elliptic filters
    error minimization
    evaluating
    example
    inverse
    Kaiser window
    linear phase
    magnitude
    monotonic
    multiband
    phase
        unwrapping
    plotting
    sampling frequency
frequency vectors
freqz <1> <2>
    sampling frequencies
    sampling frequency
From Disk radio button
fscanf
fvtool

gains, scalar
gauspuls <1> <2> <3>
Gaussian filter
Gaussian monopulse
Gaussian window
Gauss-Newton method <1> <2>
gausswin <1> <2>
generalized Butterworth filters
generalized cosine windows
generalized filters
Gibbs effect
    reduced by window
gmonopuls
goertzel
graphical user interface (GUI)
    See also interactive tools, SPTool
group delay <1> <2> <3>
    example
    passband
grpdelay <1> <2>
GUI-based tools. See interactive tools

hamming <1> <2>
Hamming windows <1> <2> <3> <4>
hann
hann
Hann windows
Hanning windows <1> <2>
hanning. See hann
highpass filters <1> <2> <3> <4> <5>
    Bessel
    Butterworth
    Chebyshev Type I
    Chebyshev Type II
    elliptic
    FIR <1> <2>
    lowpass, transformation from
hilbert <1> <2>
    example
Hilbert transformers <1> <2>
Hilbert transforms <1> <2> <3>
    analytic signals, of
    example
    instantaneous attributes
homomorphic systems
Hz <1> <2> <3> <4>

icceps <1> <2> <3>
    example
idct <1> <2>
ideal lowpass filters
    See also lowpass filters
ifft <1> <2>
    samples, specifying
ifft2 <1> <2>
IIR filters <1> <2> <3> <4> <5>
    Bessel
    Butterworth <1> <2>
    Butterworth, generalized
    Chebyshev <1> <2> <3>
    Chebyshev Type I
    Chebyshev Type II
    design <1> <2>
    elliptic <1> <2>
    Filter Designer
    filter types, comparison
    FIR filters, comparison to
    frequency response
    implementation
        frequency domain
        zero-phase
    lattice/ladder
    Levinson-Durbin recursion
    maximally flat
    multiband
    order estimation
    plotting responses
    Prony's method
    specifications
    Steiglitz-McBride iteration
    Yule-Walker <1> <2>
    See also direct design
image processing
impinvar <1> <2>
Import dialog box
    From Disk radio button
    Workspace Contents list
impulse invariance <1> <2>
    limitations
impulse response <1> <2>
    computing with filter
    impulse invariance
    lowpass filters, ideal
impz
indexing
inf-norm
initial conditions <1> <2> <3> <4>
instantaneous attributes
interactive tools <1> <2>
    example
    Filter Design and Analysis Tool (FDATool)
    Filter Designer
    Filter Viewer
    Signal Browser
    Spectrum Viewer <1> <2>
    SPTool
interp
interpolation
    bandlimited
    bandlimited example
    FIR filter for
    FIR filters
interval notation
intfilt
inverse cepstrum, complex
inverse discrete cosine transforms
    accuracy of signal reconstruction
inverse discrete Fourier transforms
    ifft
    matrices
    two-dimensional
inverse filters <1> <2>
    analog
    digital
inverse Fourier transforms, continuous. See sinc
inverse-sine parameters
    reflection coefficients, transformations from
    reflection coefficients, transformations to
invfreqs <1> <2> <3> <4>
invfreqz <1> <2> <3> <4>
is2rc

kaiser <1> <2>
    example
Kaiser window
Kaiser windows <1> <2>
    beta parameter <1> <2>
    example
    FIR filters
    frequency response
kaiserord <1> <2>

ladder filters. See lattice/ladder filters
Lagrange interpolation filter
Laplace transforms
    state-space forms
lar2rc
latc2tf <1> <2> <3>
latcfilt <1> <2> <3>
lattice/ladder filters <1> <2> <3>
    coefficients
    latcfilt
    Schur algorithm
    transfer functions, conversions from
least squares method, FIR filters <1> <2>
length
    filter numerator and denominator equalization
levinson <1> <2>
    parametric modeling
Levinson-Durbin recursion <1> <2> <3>
line spectral frequencies
    prediction polynomial coefficients, transformation from
    prediction polynomial coefficients, transformation to
line style, SPTool
linear models. See models
linear phase <1> <2> <3>
    characteristics
    filters
linear prediction coefficients
linear prediction modeling
linear predictive coding
linear system transformations. See conversions
load
log area ration parameters
    reflection coefficients, transformations from
    reflection coefficients, transformations to
lowpass filters <1> <2> <3> <4> <5>
    Bessel
    Butterworth
    Chebyshev Type I
    Chebyshev Type II
    cutoff frequency, translation of
    decimation
    elliptic
    FIR
    ideal
    impulse invariance
    impulse response
    interpolation
lp2bp <1> <2> <3>
    example
lp2bs <1> <2> <3>
lp2hp <1> <2> <3>
lp2lp <1> <2> <3>
lpc <1> <2> <3>
    See also linear predictive coding, Prony's method
LPC. See linear prediction coefficients
lse
lsf2poly

magnitude
    Fourier transforms
    frequency response
    plots
    transfer functions
    vectors <1> <2> <3> <4>
manufacturing
match frequency (for prewarping)
MAT-files
    dpss.mat
    format, converting to
    importing
    SPTool
matrices
    convolution <1> <2>
    data <1> <2>
    discrete Fourier transforms
    inverse discrete Fourier transforms
matrix forms. See state-space forms
maxflat <1> <2> <3>
maximally flat filters
medfilt1 <1> <2>
median filters <1> <2>
MEX-files
M-files
minimax method, FIR filters
    See also Parks-McClellan method
minimum phase
models
    autoregressive <1> <2> <3> <4>
        Burg method <1> <2>
        covariance method
        modified covariance method <1> <2>
        Yule-Walker AR method <1> <2>
    bilinear transformations
    transformations
modified covariance method
    example
modulate <1> <2> <3>
    example
    method flags
modulation <1> <2>
    amplitude
        See also amplitude modulation
    example
    frequency
    phase
    pulse position
    pulse width
    quadrature amplitude
    results of
    signals <1> <2>
moving average (MA) filters
    See also FIR filters
MTM. See multitaper method
multiband filters
    FIR
    FIR, with transition bands
    IIR
multichannel data
multiple signal classification method (MUSIC) <1> <2> <3> <4> <5>
    correlation matrices
    eigenvector method <1> <2>
    root music
multiplicity, of zeros and poles
multirate filters
    banks
multitaper method (MTM) <1> <2> <3>
    average power, conservation of
    example
    Welch's method, comparison to
MUSIC algorithm. See multiple signal classification method

nonrecursive filters. See FIR filters
normalization
    correlation <1> <2> <3>
    power spectral density <1> <2> <3>
Nuttall windows
nuttallwin <1> <2>
Nyquist frequency <1> <2> <3>
Nyquist interval

object
    changing parameters
    filter
    viewing parameters
    window
order
    bit reversed
    digit reversed
    estimation <1> <2>
        Butterworth
        Chebyshev Type I
        elliptic <1> <2>
    filters, of <1> <2>
oscillators, voltage controlled
overlap-add method
    FIR filter implementation
    FIR filters

Panner check box, Signal Browser
parametric modeling <1> <2>
    applications
    covariance method
    frequency domain based
    modified covariance method
    summary
    techniques
    time-domain based
        linear predictive coding <1> <2>
        Steiglitz-McBride method
        Yule-Walker method
parentheses, indicating open interval
Parks-McClellan method <1> <2>
partial fraction expansion <1> <2> <3> <4>
    determining with residue
    example
Parzen window
parzenwin <1> <2>
passband <1> <2> <3> <4>
    equiripple <1> <2>
    group delay
pburg <1> <2> <3>
    example
PCM
pcov <1> <2> <3>
    example
peig <1> <2>
period, finding in a sequence
periodic sinc functions
    See also Dirichlet functions
periodogram
periodograms <1> <2> <3>
phase
    delays <1> <2> <3>
        example
    demodulation
    distortion
        eliminating <1> <2>
        FIR filters
        IIR filters
    Fourier transforms
    frequency response
    modulation <1> <2>
        filters
    transfer functions, of
    unwrapping
phase delay
phase response
phasedelay
phasez
plots
    analog filters
    cepstrum, complex
    coherence function
    DFT
    frequency response
    functions for
    group delay
    magnitude <1> <2>
    phase
        delays
    strip plots
    transfer functions
    zero-pole <1> <2>
plug-ins
pm
pmcov <1> <2> <3>
    example
p-model. See parametric modeling
pmtm <1> <2>
    example
pmusic <1> <2> <3>
Pole/Zero Editor
pole-zero filters. See IIR filters
poly <1> <2>
poly2ac
poly2lsf
poly2rc
polynomials
    division
    roots <1> <2>
    scaling
    stability check
    stabilization
polyphase filtering techniques
polyscale
polystab
power spectral density
    bias <1> <2> <3>
    confidence intervals
    estimation
        Burg method <1> <2> <3>
        covariance method <1> <2> <3>
        modified covariance method <1> <2>
        multitaper method <1> <2>
        MUSIC method <1> <2>
        root music <1> <2>
        Welch's method <1> <2> <3>
        Yule-Walker AR method <1> <2> <3>
    multitaper method
    MUSIC method
    normalization <1> <2> <3>
    plots
    Spectrum Viewer
    SPTool
    units of
ppm
prediction filters
prediction polynomials
    line spectral frequencies, transformations from
    line spectral frequencies, transformations to
Preferences menu item
prewarping
Print dialog box <1> <2>
Print Preview window
    Signal Browser preferences
    Spectrum Viewer
printing, Spectrum Viewer
prolate-spheroidal windows
prony <1> <2> <3> <4>
Prony's method <1> <2>
    modeling
psdplot
pseudospectrum
    eigenvector method <1> <2>
    MUSIC algorithm
pulse position demodulation
pulse position modulation
pulse time modulation
pulse train generator
pulse trains
    generating
    pulstran
pulse width demodulation
pulse width modulation <1> <2>
pulstran <1> <2>
pwelch <1> <2> <3>
pwm
pyulear <1> <2> <3>
    example <1> <2>

qam
quadrature amplitude demodulation
quadrature amplitude modulation <1> <2>
quantization <1> <2> <3>
    PCM
quantized filters
    second-order sections
        coefficients in a cell array
        coefficients in a matrix

radar applications
raised cosine filters
randn
random number, generation
range notation
rc2ac
rc2is
rc2lar
rc2poly
rceps <1> <2> <3>
rebuffering
rectangular windows <1> <2> <3>
rectpuls
rectwin <1> <2>
    example
recursive filters. See IIR filters
Redo
references <1> <2> <3>
reflection coefficients <1> <2>
    converting to autocorrelation sequence
    filter coefficients, conversions from <1> <2>
    inverse sine parameters, transformation from
    inverse sine parameters, transformation to
    log area ratio parameters, transformation from
    log area ratio parameters, transformation to
    Schur algorithm
remez <1> <2> <3>
    differentiators
    filter characteristics
    firls, comparison to
    Hilbert transformers
    order estimation
    weight vectors
Remez exchange algorithm <1> <2>
remezord <1> <2>
resample
resampling <1> <2>
    FIR filters
    See also decimation, interpolation
residue
residue forms. See partial fraction expansion
residuez <1> <2>
rlevinson
root MUSIC
    eigenvector method
rooteig
rootmusic
roots <1> <2>
    polynomials
rulers
    positioning
    Signal Browser
    Spectrum Viewer

sampling frequency <1> <2>
    changing
        noninteger resampling factors <1> <2>
        with upfirdn
    decreasing
    decreasing by integer factor
    FIR filters
    freqz
    increasing <1> <2>
    irregularly spaced data
    Nyquist interval
    range
    spacing
saving data
    Spectrum Viewer
Savitzky-Golay filters <1> <2>
sawtooth <1> <2> <3>
sawtooth wave
scaling
schur
Schur algorithm
schurrc
second-order section forms <1> <2>
    filters
    matrices
    SPTool
    state-space forms, conversions from
    state-space forms, conversions to
    transfer functions, conversions from <1> <2>
    zero-pole-gain forms, conversions from
    zero-pole-gain forms, conversions to
second-order sections
    coefficients in cell arrays
    coefficients in matrices
seqperiod
sgolay
sgolayfilt
Signal Browser <1> <2>
    axis labels
    markers, preferences
    opening
    overview
    Panner, preferences
    Print Preview window
    printing <1> <2> <3> <4>
    signals, measuring
    zooming, preferences
Signal Processing Toolbox
signals
    adding noise
    analytic <1> <2>
    aperiodic
    applications
    array
    buffering
    carrier <1> <2>
    chirp
    continuous (analog)
    differentiators
    diric
    discrete (digital)
    generating
    linear swept-frequency cosine. See chirp
    measurements
    modulation <1> <2>
    multichannel
    periodic
    plotting
    properties
    pulstran
    rebuffering
    reconstruction
        DCT coefficients, from
        minimum phase <1> <2>
    representing
        multichannel
        single channel
    sawtooth <1> <2>
        example
    sinc
    sinusoidal <1> <2>
        pulse, Gaussian-modulated
    square wave <1> <2>
    triangle
sigwin
    structures
sinc <1> <2>
    bandlimited interpolation example
sinc functions <1> <2>
    basic example
    Dirichlet
Slepian sequences. See discrete prolate spheroidal sequences
sonar applications
sos2cell
sos2ss <1> <2>
sos2tf <1> <2>
sos2zp <1> <2>
sosfilt
specgram <1> <2>
    example <1> <2>
specification lines. See Filter Designer
specifications, filters
spectral analysis
    cross spectral density
    power spectrum
    Spectrum Viewer
    See also spectral estimation
spectral density
    measurements
    plotting functions
    Spectrum Viewer
    units of
    See also power spectral density, cross spectral density
spectral density plots
spectral estimation
    Burg method <1> <2> <3> <4>
    covariance method <1> <2> <3>
    eigenvector method <1> <2> <3>
    modified covariance method <1> <2> <3>
    multitaper method <1> <2>
    MUSIC algorithm <1> <2>
    MUSIC method <1> <2>
    nonparametric
        multiple signal classification method (MUSIC)
        multitaper method (MTM)
        Welch's method
    periodograms
    root MUSIC <1> <2>
    Welch's method <1> <2> <3> <4> <5> <6> <7> <8>
    Yule-Walker AR method <1> <2> <3> <4> <5> <6>
    Yule-Walker method
spectrogram <1> <2>
    example <1> <2>
Spectrum Viewer <1> <2>
    activating
    axis parameters
    markers, preferences
    measurements
    opening
    overview
    Print Preview
    printing <1> <2> <3>
    rulers
    spectra structures
    spectral density plots
    windows
    zooming
speech processing <1> <2>
spline
SPTool <1> <2>
    colors, customizing
    context-sensitive help
    customizing
    data
        entering
        objects
        selecting
    data structures
    editing
    example
    exporting data <1> <2>
    filter design
    filtering
    filters
        coefficients
        importing <1> <2>
        parameters
        specifications
    filters, saving
    help
    Import dialog
    importing <1> <2> <3> <4>
    items, selecting
    line style, customizing
    MAT-files
    MATLAB workspace
    multiselection of items
    operation
    Pole/Zero Editor
    preferences
    Preferences menu item
    Print dialog box <1> <2>
    printing
        filters
        spectra
    right-click edit menu
    rulers
    sample frequency
    saving
    second-order section forms
    Signal Browser
    signals
        analysis
        measurements
        playing
    sound
    spectra
        analyzing
        importing
    spectral densities
        importing <1> <2>
        plots
    Spectrum Viewer
    state-space forms
    transfer functions
        exporting
        specifying
    workspace
    zero-pole-gain forms
sptool
square <1> <2>
square wave
ss2sos <1> <2>
ss2tf <1> <2>
ss2zp <1> <2>
stability check
    polynomials
stabilization
standards, digital audio tape
startup transients, reducing <1> <2>
state-space forms <1> <2> <3>
    scalar
    second-order section forms, conversions from
    second-order section forms, conversions to
    SPTool
    transfer functions, conversions to
    zero-pole-gain forms, conversions from
    zero-pole-gain forms, convertions to
statistical operations
    See also autocorrelation sequences, cross-correlation sequences, cross-covariance
Steiglitz-McBride method <1> <2>
step response
stepz
stmcb <1> <2> <3> <4>
stopband <1> <2> <3> <4>
    equiripple <1> <2>
strip plots
strips
structures
    converting <1> <2>
    lattice/ladder
structures, digital filters
    lattice/ladder
    transposed direct form II
swept-frequency cosine generator. See chirp
system identification
system models. See models

tapers, PSD estimates
taps
tf2latc <1> <2> <3>
tf2sos
tf2ss <1> <2>
tf2zp <1> <2>
tfe <1> <2> <3>
time series attributes
time-domain based modeling. See parametric modeling
toolboxes
    Control Systems Toolbox
    Signal Processing Toolbox
    Symbolic Math Toolbox
transfer functions <1> <2> <3> <4>
    coefficients <1> <2>
    estimation
        using Welch's method
    factoring
    lattice forms, conversions to
    second-order section forms, conversions from
    second-order section forms, conversions to
    SPTool
    state-space forms, conversions to
    zero-pole-gain forms
transformations
    bilinear <1> <2>
    discrete/continuous
    frequency <1> <2> <3> <4> <5>
    models, between
transforms
    chirp z-transforms (CZT) <1> <2>
    discrete cosine
    discrete Fourier
    Hilbert <1> <2>
    inverse discrete cosine <1> <2>
transients, filters
transition band
transposed direct form II
    initial conditions
transposed direct form II structure
triang <1> <2>
    example
triangular windows
tripuls
Tukey
tukeywin <1> <2>
two-dimensional operations
    discrete Fourier transforms
    inverse discrete Fourier transforms
two-dimensional signal processing
typographical conventions (table)

udecode
uencode
Undo
uniform encoding
unit circle
unit impulse function
unit ramp function
unit sample, multichannel representation
unit step function
units of power spectral density (PSD)
unwrap <1> <2>
upfirdn <1> <2> <3>
upsample

variables
    load from disk
variance
vco <1> <2> <3> <4>
vectors
    data <1> <2>
    frequency <1> <2> <3> <4> <5>
    indexing <1> <2>
    magnitude <1> <2> <3> <4>
    weighting
voltage controlled oscillators <1> <2>

waveforms. See signals
Welch's method <1> <2>
    bias
    Burg method, comparison to
    MTM method, comparison to
    normalization
    power spectral density estimation <1> <2> <3> <4> <5> <6>
    system identification, nonparametric
    Yule-Walker AR method, comparison to
white noise
window
windows
    Bartlett <1> <2>
    Bartlett-Hanning
    Blackman <1> <2>
    Blackman-Harris <1> <2>
    blackmanharris vs. nuttallwin <1> <2>
    Bohman
    boxcar
    Chebyshev <1> <2>
    cosine
    de la Valle-Poussin
    designing
    filters
    FIR filters
        bandpass
        bandstop
        highpass
        lowpass
        multiband filters
        single band design
    fir1
    flat top weighted
    Gaussian
    Hamming <1> <2> <3> <4>
    Hann
    Hanning <1> <2>
    Kaiser <1> <2> <3>
    Nuttall
    object
    Parzen
    periodograms <1> <2>
    prolate-spheroidal
    rectangular <1> <2>
    shapes
    triangular
    Tukey
    viewing
    wintool
    wvtool
wintool
Workspace Contents list
wvtool

xcorr
xcorr2
xcov

yulewalk
    example
Yule-Walker AR method
    description
    example
    Welch's method comparison

zero frequency component, centering
zero-order hold. See averaging filters
zero-phase
    filtering
    response
zerophase
zero-pole
    analysis
    multiplicity
    plots
    transfer functions
zero-pole-gain
zero-pole-gain forms
    convert from second-order sections
    convert from state-space
    convert to second-order sections
    convert to state-space
    SPTool
zoom
    SPTool
zp2sos
zp2ss
zp2tf
zplane
z-transforms
    chirp z
    czt function
    definition
    discrete Fourier transforms
    equation